Intermediate Algebra

# Practice Test

Intermediate AlgebraPractice Test

### Practice Test

529.

Use the Square Root Property to solve the quadratic equation $3(w+5)2=27.3(w+5)2=27.$

530.

Use Completing the Square to solve the quadratic equation $a2−8a+7=23.a2−8a+7=23.$

531.

Use the Quadratic Formula to solve the quadratic equation $2m2−5m+3=0.2m2−5m+3=0.$

Solve the following quadratic equations. Use any method.

532.

$2x(3x−2)−1=02x(3x−2)−1=0$

533.

$94y2−3y+1=094y2−3y+1=0$

Use the discriminant to determine the number and type of solutions of each quadratic equation.

534.

$6p2−13p+7=06p2−13p+7=0$

535.

$3q2−10q+12=03q2−10q+12=0$

Solve each equation.

536.

$4x4−17x2+4=04x4−17x2+4=0$

537.

$y23+2y13−3=0y23+2y13−3=0$

For each parabola, find which direction it opens, the equation of the axis of symmetry, the vertex, the x- and y-intercepts, and e) the maximum or minimum value.

538.

$y=3x2+6x+8y=3x2+6x+8$

539.

$y=−x2−8x+16y=−x2−8x+16$

Graph each quadratic function using intercepts, the vertex, and the equation of the axis of symmetry.

540.

$f(x)=x2+6x+9f(x)=x2+6x+9$

541.

$f(x)=−2x2+8x+4f(x)=−2x2+8x+4$

In the following exercises, graph each function using transformations.

542.

$f(x)=(x+3)2+2f(x)=(x+3)2+2$

543.

$f(x)=x2−4x−1f(x)=x2−4x−1$

In the following exercises, solve each inequality algebraically and write any solution in interval notation.

544.

$x2−6x−8≤0x2−6x−8≤0$

545.

$2x2+x−10>02x2+x−10>0$

Model the situation with a quadratic equation and solve by any method.

546.

Find two consecutive even numbers whose product is 360.

547.

The length of a diagonal of a rectangle is three more than the width. The length of the rectangle is three times the width. Find the length of the diagonal. (Round to the nearest tenth.)

548.

A water balloon is launched upward at the rate of 86 ft/sec. Using the formula h = −16t2 + 86t find how long it will take the balloon to reach the maximum height, and then find the maximum height. Round to the nearest tenth.